Re: Time to event and drop-out model
Dear Palang,
Thanks for sharing your experience.
It seems you are facing a case of informative drop-out.
It may be valuable to model it indeed, in order to maximize the information
supporting your model and avoid a bias after 3 months based on
non-randomly remaining patients when determining whether your hazard is
time-varying or time-constant. One way to model it would be to have the
drop-out hazard be driven by the infection hazard (itself a function
of exposure). But the question you are trying to answer with
modelling should also be taken into account when deciding what to focus
your modelling effort on. That said, it seems that the design is
challenging, the resolution of your data (monthly) is rather coarse (though
apparently an Emax was picked up with good RSEs) risking
overparameterization (and I didn't understand whether there were placebo
patients or not).
Regarding the evaluation, simulation-based diagnostics, i.e. VPC, are, I
think, the preferred way to diagnose TTE models. Internal and possibly
external evaluation should be carried out to check the simulation
properties of your model. There are several types of VPCs that can be
useful though. I can think of the gold standard Kaplan-Meier plot, showing
the proportion of IDs not experiencing the event versus time, and I'm
guessing that currently it performs well only until 3 months. But the
increasingly common discrete data type plot representing the proportion of
individuals (not) experiencing the event versus exposure would be a
good tool too to diagnose the drug effect part. Residual-based diagnostics
have also been presented, more specifically the Cox-Snell plot.
I am sure other NMusers have more insights.
Good luck with your model.
Best regards,
Elodie
________________________________
Elodie L. Plan, Ph.D., Researcher
Pharmacometric Research Group
Uppsala University, Sweden
+46-7-22-81-39-07
Quoted reply history
On Thu, Nov 29, 2012 at 10:42 AM, Palang Chotsiri <[email protected]>wrote:
> Dear NM-users.****
>
> ** **
>
> I am modeling the preventive effect of a drug by using a time-to-event
> approach (time to get a new parasite infection after treatment). Patients
> were treated once a month for 3 months, with a scheduled follow-up 1 month
> after the last treatment (and again if they were symptomatic during 2
> additional months of follow-up) The PK has been modeled and fixed for the
> TTE-model. A constant hazard with sigmoid Emax drug effect was used to
> explain the time-to-new infection with a good RSEs and reasonable parameter
> estimates. ****
>
> ** **
>
> However, in this study, the dropout events are not randomly distributed.
> After the third month (after last treatment), 30% of all patients dropped
> out and did not come back for the 1st follow-up visit (the average
> dropout rate is about 2% each month). Many of the patients (50%) that came
> back after the 1st follow-up visit had acquired a new infection. I
> therefore believe that many of the patients that were lost did not have an
> infection. ****
>
> ** **
>
> I am wondering if I need/how to model the drop-outs or in any way
> compensate for the fact that only patients without infections dropped out?
> ****
>
> I would also like to ask if anyone know how to diagnose TTE-models (except
> VPCs)?****
>
> ** **
>
> Your comments and help is most appreciated. ****
>
> ** **
>
> Thank you and Best Regards****
>
> Palang Chotsiri****
>
> PhD-student in Pharmacometrics****
>
> ** **
>
> Mahidol-Oxford Tropical Medicine Research Unit, Bangkok 10400, THAILAND***
> *
>
> ** **
>